Combining Texts

All the ideas for 'The Statesman', 'Mathematical logic and theory of types' and 'Political Ideals'

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31 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Whenever you perceive a community of things, you should also hunt out differences in the group [Plato]
2. Reason / D. Definition / 2. Aims of Definition
To reveal a nature, divide down, and strip away what it has in common with other things [Plato]
No one wants to define 'weaving' just for the sake of weaving [Plato]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
The soul gets its goodness from god, and its evil from previous existence. [Plato]
19. Language / F. Communication / 1. Rhetoric
The question of whether or not to persuade comes before the science of persuasion [Plato]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Non-physical beauty can only be shown clearly by speech [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
The arts produce good and beautiful things by preserving the mean [Plato]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
We would not want UK affairs to be settled by a world parliament [Russell]
Democracy is inadequate without a great deal of devolution [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
On every new question the majority is always wrong at first [Russell]
Unfortunately ordinary voters can't detect insincerity [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
24. Political Theory / D. Ideologies / 11. Capitalism
Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
28. God / A. Divine Nature / 2. Divine Nature
Only divine things can always stay the same, and bodies are not like that [Plato]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]